### Brain Teasers

# S.U.K.S

In the General meeting of MADADIA's "Secret Union of the Kebab Society" or S.U.K.S as it is sometime known, The chairman, Mr. Thorny Kator said, "The repairs to the Club, after the last all night kebab wrestling meeting, will come to a total of 3120 wonks (Madadian currency)." "So therefore I propose that this amount should be met by the members, each paying an equal amount." The proposal was immediately agreed, more out of embarrassment than anything else. However, four members of the S.U.K.S chose to resign, leaving the remaining S.U.K.S members to pay an extra 26 Wonks each.

How many members did S.U.K.S originally have?

How many members did S.U.K.S originally have?

### Answer

The club originally had 24 members.Explanation: When the club had 24 members, the cost to each member was 130 Wonks (130*24=3120). When the club was reduced, by 4, to 20, the cost to each member was 156 Wonks (156*20=3120), which is 130+26.

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## Comments

If there's one bad SUKS teaser, I haven't heard it!

Hehe... your 'Hidden Until you vote' was kind blown there Mad, you gave it away in your creativity

Yes MAD-ADE, The fact that you also seem to be obsessed with kebabs also gives it away.......what is it with you and kebabs anyway?

I new , but apparently mad-ade is the best there is,for now

x members pay 3120/x each

Four resign leaving 3120 paid by (x-4) members or 3120 /(x â€“ 4) each

3120/(x-4) â€“ 3120/x = 26

3120x â€“ 3120(x-4) = 26x(x â€“ 4)

12480 = 26x^2 â€“ 104x

480 = x^2 â€“ 4x or x^2 - 4x â€“ 480 = 0

Factorising (x â€“ 24)(x + 20) = 0 x = 24 (Ignoring negative solution).

Four resign leaving 3120 paid by (x-4) members or 3120 /(x â€“ 4) each

3120/(x-4) â€“ 3120/x = 26

3120x â€“ 3120(x-4) = 26x(x â€“ 4)

12480 = 26x^2 â€“ 104x

480 = x^2 â€“ 4x or x^2 - 4x â€“ 480 = 0

Factorising (x â€“ 24)(x + 20) = 0 x = 24 (Ignoring negative solution).

BTW Good teaser!

This works for 30 members being reduced ot 26

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